Reflection: y-axis
How to find the image under the reflection in the y-axis: formula, 3 examples, and their solutions.
Formula
The image of a point (x, y)
under the reflection in the y-axis is
(-x, y).
Change the sign of x.
Example(3, 2), Reflection: y-axis
The image of (3, 2) is
under the reflection in the y-axis.
Then the image point is,
change the sign of x,
(-3, 2).
So (-3, 2) is the answer.
This is the graph of (3, 2)
and its image
under the reflection in the y-axis:
(-3, 2).
Example(-4, -5), Reflection: y-axis
The image of (-4, -5) is
under the reflection in the y-axis.
Then the image point is,
change the sign of x,
(4, -5).
So (4, -5) is the answer.
This is the graph of (-4, -5)
and its image
under the reflection in the y-axis:
(4, -5).
Exampley = 2x + 1, Reflection: y-axis
The image of [y = 2x + 1] is
under the reflection in the y-axis.
Then the image function is,
change the sign of x,
y = 2(-x) + 1.
2(-x) = -2x
So
y = -2x + 1
is the answer.
This is the graph of [y = 2x + 1]
and its image
under the reflection in the y-axis:
y = 2(-x) + 1.